A \(p\) -th degree NURBS or B-spline curve [1]} is defined using the Cox-deBoor functions for each subdomain as
\(\vec{C}(u) &=& \sum _{i=0}^{n} R_{i,p}(u) \vec{P}(i), \quad \forall u \in \Omega \\R_{i,p}(u) &=& \frac{N_{i,p}(u) W_i}{\sum _{i=0}^{n} N_{i,p}(u) W_i}\) 
